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SSC CHSL 2020 PYQ — Question 55

SSC CHSL - 16th October 2020 - Shift 2 • Quantitative Aptitude • Q55

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In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e 110o.

Understanding/Application

Sum of opposite angles of a cyclic quadrilateral = 180

∠SPQ + ∠SRQ = 180o

∠SRQ = (180 - 110)

∠SRQ = 70o

PQ is parallel to SR.

Since RQ is transversal to PQ and SR, the sum of interior angles on the same side of the transversal is 180o

∠SRQ + ∠PQR = 180o

∠PQR = (180 - 70)o

∠PQR = 110o